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Finding the Third Proportional to 597,727,301.63 and 937,572,805.13

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Solution

The third proportional to 597,727,301.63 and 937,572,805.13 is: 1,470,641,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,727,301.63 : 937,572,805.13 = 937,572,805.13 : x
  2. Step 2: Convert to fraction form
    597,727,301.63/937,572,805.13 = 937,572,805.13/x
  3. Step 3: Cross multiply
    597,727,301.63x = 937,572,805.13 × 937,572,805.13
  4. Step 4: Simplify right side
    597,727,301.63x = 879,042,764,909,961,216
  5. Step 5: Solve for x
    x = 879,042,764,909,961,216/597,727,301.63
  6. Step 6: Final answer
    x = 1,470,641,816.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.